In a well-advanced 1.1 beta game, I can pan around the map, and see that the AI is failing to exploit resources, all of which are quite firmly within their own territories. It has adequately grabbed econ resources, but neglected to grab both military and influence resources. I'm not sure why this might be. It's a bad idea to leave a resource ungrabbed. It should at least plop a starbase on top of the resource, even if doesn't plan on building it up for a while... otherwise another player will grab it.